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Simplifying 3(x + 6) = 12 + -5x Reorder the terms: 3(6 + x) = 12 + -5x (6 * 3 + x * 3) = 12 + -5x (18 + 3x) = 12 + -5x Solving 18 + 3x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 18 + 3x + 5x = 12 + -5x + 5x Combine like terms: 3x + 5x = 8x 18 + 8x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 18 + 8x = 12 + 0 18 + 8x = 12 Add '-18' to each side of the equation. 18 + -18 + 8x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 12 + -18 8x = 12 + -18 Combine like terms: 12 + -18 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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